321032420444340 has 432 divisors, whose sum is σ = 1091949639056640. Its totient is φ = 76270378060800.

The previous prime is 321032420444299. The next prime is 321032420444401. The reversal of 321032420444340 is 43444024230123.

321032420444340 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 3 + 2 + 4 + 204 + 443 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 321032420444295 and 321032420444304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 257623896 + ... + 258867024.

It is an arithmetic number, because the mean of its divisors is an integer number (2527661201520).

Almost surely, 2^{321032420444340} is an apocalyptic number.

321032420444340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321032420444340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545974819528320).

321032420444340 is an abundant number, since it is smaller than the sum of its proper divisors (770917218612300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321032420444340 is a wasteful number, since it uses less digits than its factorization.

321032420444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243404 (or 1243388 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 321032420444340 its reverse (43444024230123), we get a palindrome (364476444674463).

The spelling of 321032420444340 in words is "three hundred twenty-one trillion, thirty-two billion, four hundred twenty million, four hundred forty-four thousand, three hundred forty".